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Position eigenstates and the Statistical Axiom of Quantum Mechanics

L. Polley

quant-pharXiv:quant-ph/0102113

Abstract

Quantum mechanics postulates the existence of states determined by a particle position at a single time. This very concept, in conjunction with superposition, induces much of the quantum-mechanical structure. In particular, it implies the time evolution to obey the Schroedinger equation, and it can be used to complete a truely basic derivation of the statistical axiom as recently proposed by Deutsch.

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